2003

最新文章

• Cluster algebras II: Finite type classification AI翻译
  作者：Fomin, S; Zelevinsky, A
  作者单位：University of Michigan System; University of Michigan; Northeastern University
• Rational isomorphisms between K-theories and cohomology theories AI翻译
  作者：Friedlander, EM; Walker, ME
  作者单位：Northwestern University; University of Nebraska System; University of Nebraska Lincoln
  摘要：The well known isomorphism relating the rational algebraic K-theory groups and the rational motivic cohomology groups of a smooth variety over a field of characteristic 0 is shown to be realized by a map (the Segre map) of infinite loop spaces. Moreover, the associated Chem character map on rational homotopy groups is shown to be a ring isomorphism. A technique is introduced that establishes a useful general criterion for a natural transformation of functors on quasi-projective complex varieti...
• Scattering matrix in conformal geometry AI翻译
  作者：Graham, CR; Zworski, M
  作者单位：University of Washington; University of Washington Seattle; University of California System; University of California Berkeley
• Analytic continuation of holomorphic correspondences and equivalence of domains in Cn AI翻译
  作者：Shafikov, R
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：The following result is proved: Let D and D' be bounded domains in C-n, partial derivativeD is smooth, real-analytic, simply connected, and partial derivativeD' is connected, smooth, real-algebraic. Then there exists a proper holomorphic correspondence f : D --> D' if and only if there exist points p is an element of partial derivativeD and p' is an element of partial derivativeD', such that partial derivativeD and partial derivativeD' are locally CR-equivalent near p and p'. This leads to a c...
• Mirror symmetry, Langlands duality, and the Hitchin system AI翻译
  作者：Hausel, T; Thaddeus, M
  作者单位：University of California System; University of California Berkeley; Columbia University
  摘要：Among the major mathematical approaches to mirror symmetry are those of Batyrev-Borisov and Strominger-Yau-Zaslow (SYZ). The first is explicit and amenable to computation but is not clearly related to the physical motivation; the second is the opposite. Furthermore, it is far from obvious that mirror partners in one sense will also be mirror partners in the other. This paper concerns a class of examples that can be shown to satisfy the requirements of SYZ, but whose Hodge numbers are also equa...
• Large deviation bounds for matrix Brownian motion AI翻译
  作者：Biane, P; Capitaine, M; Guionnet, A
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite PSL; Ecole Normale Superieure (ENS); Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Ecole Normale Superieure de Lyon (ENS de LYON)
  摘要：We prove large deviation bounds for the convergence of Hermitian matrix valued Brownian motion towards free Brownian motion. As a consequence, we obtain upper and lower bounds on the microstates entropy introduced by Voiculescu [24].
• The cup product of Hilbert schemes for K3 surfaces AI翻译
  作者：Lehn, M; Sorger, C
  作者单位：Johannes Gutenberg University of Mainz; Nantes Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：To any graded Frobenius algebra A we associate a sequence of graded Frobenius algebras A([n]) so that there is canonical isomorphism of rings (H* (X; Q)[2])([n]) congruent to H* (X-[n]; Q)[2n] for the Hilbert scheme X-[n] of generalised n-tuples of any smooth projective surface X with numerically trivial canonical bundle.
• A correction to Epp's paper Elimination of wild ramification AI翻译
  作者：Kuhlmann, FV
  作者单位：University of Saskatchewan
  摘要：We fill a gap in the proof of one of the central theorems in Epp's paper, concerning p-cyclic extensions of complete discrete valuation rings. In his famous paper [1], Epp considers the following situation: S and R are two discrete valuation rings such that (1) S dominates R, and (2) if the characteristic p of the residue field of S is not zero, then its largest perfect subfield is separable and algebraic over the residue field of R. He proves that then, there exists a discrete valuation ring ...
• On the equivariant Tamagawa number conjecture for Tate motives AI翻译
  作者：Burns, D; Greither, C
  作者单位：University of London; King's College London; Bundeswehr University Munich
  摘要：Let L be a finite abelian extension of Q and let K be any subfield of L. For each integer r with rless than or equal to0 we prove the Equivariant Tamagawa Number Conjecture for the pair (h(0)(Spec(L))(r), Z[1/2][Gal(L/K)]).
• Homotopy equivalences of p-completed classifying spaces of finite groups AI翻译
  作者：Broto, C; Levi, R; Oliver, B
  作者单位：Autonomous University of Barcelona; University of Aberdeen
  摘要：We study homotopy equivalences of p-completions of classifying spaces of finite groups. To each finite group G and each prime p, we associate a finite category L-p(c)(G) with the following properties. Two p-completed classifying spaces BG((p) over cap) and BG'(p) over cap have the same homotopy type if and only if the associated categories L-p(c)(G) and L-p(c)(G') are equivalent. Furthermore, the topological monoid Aut(BG((p) over cap)) of self equivalences is determined by the self equivalenc...